IX LASNPA, Quito 2011 |

Complex-Energy Shell Model Description of Alpha Decay

R. Id Betan ^{1}*, W. Nazarewicz

In his description of alpha decay, Gamow assumed that the alpha particle formed inside the nucleus penetrates through the potential barrier. The decaying metastable state (Gamow state) corresponds to the complex-energy solution of the time independent SchrÃ¶dinger equation with the outgoing boundary condition. The formation of the alpha cluster, missing in the original Gamow formulation, can be described within the R-matrix theory through the formation amplitude. In this work, alpha decay process is described by computing the formation amplitude and penetrability in a large complex-energy configuration space spanned by the eigenstates of the finite Woods-Saxon potential. Results are presented for the benchmark cases of ^{212}Po and ^{104}Te.

* Corresponding author - idbetan@ifir-conicet.gov.ar | oral presentation |

15 |